Volume Formula for Rectangular Prisms Math Games

3 games

In this series of games, your students will learn to apply the formulas V = l × w × h and V = b × h to find volumes of right rectangular prisms with whole-number edge lengths. The Volume Formula for Rectangular Prisms learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 5.MD.C.5.b as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

Concepts Covered

Volume is comprised of layers of measurable units. A unit cube is a cube with a side length of 1 unit. Use unit cubes as a basis for students’ understanding of volume as a measurable attribute.

Determine the volume of a rectangular prism. Build right rectangular prisms, count the cubes, and see that they are comprised of layers of cubes. Mentally decompose and recompose a right rectangular prism built from cubes into layers, each of which is composed of rows and columns.

Understand that multiplying the length times the width of a right rectangular prism can be viewed as determining how many cubes would be in each layer if the prism were packed with or built up from unit cubes. The height of the prism tells how many layers would fit in the prism. The formula for volume can be derived as length times width times height, or the area of the base times the height (V = l x w x h or V = B x h). Find volume or any of the edge lengths by manipulating the formula for volume to find one other measurement.  Use standard units of measure such as cubic cm, cubic in, cubic ft, and any unit that the problem presents.

A preview of each game in the learning objective is found below.

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Image for Measurement Mansion
Measurement Mansion Estimated Duration: 20 minutes Explore a quirky mansion and help the owner pack away his strange furniture by measuring volume with unit cubes!
Image for Apartment Planner
Apartment Planner Estimated Duration: 15 minutes Welcome to Apartment Planner, the ultimate city-building adventure where you become the master architect of your own bustling metropolis! Dive into the exciting world of urban planning as you craft unique apartments, estimate volumes by measuring unit cubes, and create vibrant neighborhoods.
Image for The Secrets of Achak
The Secrets of Achak Estimated Duration: 11 minutes Explore the temple of Achak and use your knowledge of unit cubes to pass the gates!
Image for Newton Pool
Newton Pool Estimated Duration: 15 minutes The game consists of hand-crafted levels where the player controls a white ball. The goal of each level is to get the white ball to the end of the level in as few moves as possible, while racking up points by bumping golden balls into obstacles on the way! The game does not have any instructional math content, it simply has math review questions spread throughout.
Image for Find Volume Given Length Width and Height
Find Volume Given Length Width and Height Estimated Duration: 4 minutes Students will find the volume of rectangular prisms using V = l x w x h and V = B x h without filling the figures with unit cubes.
Image for Magical Forest Deluxe
Magical Forest Deluxe Estimated Duration: 15 minutes Find yourself in a magical forest full of treasures and adventures. Collect coins and berries, answer questions, earn points! Good luck!
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